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Foundations and Applications of Statistics: An Introduction Using \(\mathsf{R}\)

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Randall Pruim

Foundations and Applications of Statistics simultaneously
emphasizes both the foundational and the computational aspects of modern
statistics. Engaging and accessible, this book is useful to undergraduate
students with a wide range of backgrounds and career goals.

The exposition immediately begins with statistics, presenting
concepts and results from probability along the way. Hypothesis
testing is introduced very early, and the motivation for several
probability distributions comes from p-value computations. Pruim
develops the students' practical statistical reasoning through
explicit examples and through numerical and graphical summaries of
data that allow intuitive inferences before introducing the formal
machinery. The topics have been selected to reflect the current
practice in statistics, where computation is an indispensible tool.
In this vein, the statistical computing environment
\(\mathsf{R}\) is used throughout the text and is integral to
the exposition. Attention is paid to developing students' mathematical
and computational skills as well as their statistical reasoning.
Linear models, such as regression and ANOVA, are treated with explicit
reference to the underlying linear algebra, which is motivated
geometrically.

Foundations and Applications of Statistics discusses both
the mathematical theory underlying statistics and practical
applications that make it a powerful tool across disciplines. The
book contains ample material for a two-semester course in
undergraduate probability and statistics. A one-semester course based
on the book will cover hypothesis testing and confidence intervals for
the most common situations.

Foundations and Applications of Statistics: An Introduction Using $\mathsf{R}$

Title (HTML):
Foundations and Applications of Statistics: An Introduction Using \(\mathsf{R}\)

Author(s) (Product display):
Randall Pruim

Affiliation(s) (HTML):
Calvin College, Grand Rapids, MI

Abstract:

Foundations and Applications of Statistics simultaneously
emphasizes both the foundational and the computational aspects of modern
statistics. Engaging and accessible, this book is useful to undergraduate
students with a wide range of backgrounds and career goals.

The exposition immediately begins with statistics, presenting
concepts and results from probability along the way. Hypothesis
testing is introduced very early, and the motivation for several
probability distributions comes from p-value computations. Pruim
develops the students' practical statistical reasoning through
explicit examples and through numerical and graphical summaries of
data that allow intuitive inferences before introducing the formal
machinery. The topics have been selected to reflect the current
practice in statistics, where computation is an indispensible tool.
In this vein, the statistical computing environment
\(\mathsf{R}\) is used throughout the text and is integral to
the exposition. Attention is paid to developing students' mathematical
and computational skills as well as their statistical reasoning.
Linear models, such as regression and ANOVA, are treated with explicit
reference to the underlying linear algebra, which is motivated
geometrically.

Foundations and Applications of Statistics discusses both
the mathematical theory underlying statistics and practical
applications that make it a powerful tool across disciplines. The
book contains ample material for a two-semester course in
undergraduate probability and statistics. A one-semester course based
on the book will cover hypothesis testing and confidence intervals for
the most common situations.